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\(a,4^{2x-6}=1\)\(\Leftrightarrow2x-6=0\Leftrightarrow2x=6\Rightarrow x=3\)
\(b,2^{2x-1}=16\Rightarrow2^{2x-1}=2^4\)
\(\Rightarrow2x-1=4\Rightarrow2x=5\Rightarrow x=\frac{5}{2}\)
\(c,5< 5^x< 125\Rightarrow5^1< 5^x< 5^3\)\(\Rightarrow1< x< 3\)
\(d,5^{x+1}=125\Rightarrow5^{x+1}=5^3\Rightarrow x+1=3\Rightarrow x=2\)
\(a,4^{2x-6}=1\)
\(4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\Leftrightarrow x=3\)
\(b,2^{x-1}=16\)
\(2^{x-1}=2^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
720:[41-(2x-5)]=2^3.5
720:[41-2x+5]=40
[41+5-2x]=720:40
46-2x=18
2x=46-18
2x=28
x=14
a, 2x.4=128
2x=128:4
2x=32
2x=25
x=5
Vay x=5
b, x15=x
x=1
Vay x=1
\(5^{2x}.5^{x+1}:5=125\)
\(\Rightarrow5^{2x}.5^x.5:5=125\)
\(\Rightarrow5^{2x}.5^x=125\)
\(\Rightarrow5^{3x}=125\)
\(\Rightarrow5^{3x}=5^3\)
\(\Rightarrow3x=3\)\(\Rightarrow x=1\)
Vậy : x = 1
\(\left(x+15\right)-125=5^7:5^5\)
\(\Rightarrow\left(x+15\right)-125=5^2\)
\(\Rightarrow\left(x+15\right)-125=25\)
\(\Rightarrow x+15=25+125\)
=> x+15=150
=> x=150-15
Vậy x=135.
\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
=> 720:[41-(2x-5)]=8.5
=> 720:[41-(2x-5)]=40
=> 41-(2x-5)=720:40
=> 41-(2x-5)=18
=> 2x-5=41-18
=> 2x-5=23
=> 2x=23+5
=> 2x=28
=> x=28:2
Vậy x=14.
\(2^7-3.\left(x+4\right)=23\)
=> 128-3.(x+4)=23
=> 3.(x+4)=128-23
=> 3.(x+4)=105
=> x+4=105:3
=> x+4=35
=> x=35-4
Vậy x=31.
\(2015^x.5^3=125\)
=> 2015x.53=53
=> 2015x=53:53
=> 2015x=1
=> 2015x=20150
Vậy x=0.
a) 5x = 125
\(\Rightarrow\)5x = 53
\(\Rightarrow\)x = 3
b, 32x = 81
\(\Rightarrow\)32x = 34
\(\Rightarrow\)2x = 4
\(\Rightarrow\) x = 4 : 2
\(\Rightarrow\) x = 2
c, 52x-3 - 2 . 52 = 52 . 3
52x-3 - 2 . 25 = 25 . 3
52x-3 - 50 = 75
52x-3 = 75 + 50
52x-3 = 125
52x-3 = 53
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
a, 5x = 125 suy ra 5x = 53 suy ra x = 3
b, 32x = 81 suy ra 32x = 34 suy ra x = 2
c, 52x - 3 - 2.52 = 52 . 3
suy ra 52x : 53 = 52 .3 + 2. 52
suy ra 52x : 53 = 52 . 5
suy ra 52x = 53 . 52 . 53
52x = 56 suy ra 2x = 6 suy ra x = 3
a) Ta có : 5x = 125
=> 5x = 53
=> x = 3
b) Ta có : 32x = 81
=> 32x = 34
=> 2x = 4
=> x = 4 : 2 = 2
c) Ta có : 52x + 3 - 2 . 52 = 52 . 3
=> 52x + 3 = 52 . 3 + 2 . 52
=> 52x + 3 = 52 . (3 + 2)
=> 52x + 3 = 52 . 5 = 53
=> 2x + 3 = 3
=> 2x = 3 - 3 = 0
=> x = 0 : 2 = 0
a)5x=125<=>5x=53=>x=3
b)32x=81<=>32x=34=>2x=4=>x=2
c)52x+3-50=75
52x+3=75+50
52x+3=125
<=>52x+3=53
=>2x+3=3
=>2x=0
=>x=0
\(\left(5^{2x+x+1}\right)=125.5=625\)
\(5^{3x}.5=625\)
\(5^{3x}=125\)
\(125^x=125\)
\(\Rightarrow x=1\)
(52x.5x+1):5=125
(52x.5x+1)= 125.5
(52x.5x+1)=625
\(5^{3x}=125\Rightarrow125^x=125=>x=1\)